Unless I'm mistaken, that would require adapting the pool server to directly support the Stratum protocol. I don't think there's a server-side proxy that can take care of interfacing with pushpool.
At any rate, I had a look at the
official documentation for the protocol, and its main feature appears to be
extranonce rolling. In the case of Litecoin, this feature is useless, since the regular nonce space is large enough for all kinds of miners, including the fastest GPUs. (Even the rollntime extension is useless, unless it is used to share the same work unit among multiple miners using a proxy.)
While I'm at it, I would like to mention that there are at least two other (older) mining protocols out there, namely
pushpool's binary protocol and the
Multiminer protocol (MMP), and each has its advantages. Unfortunately, no mainstream miner supports the former, and only Phoenix seems to support the latter.